Which statements are true for the functions g (x) = x2 and h (x) = - x2? Check all that apply.

For any value of x, g (x) will always be greater than h (x).

For any value of x, h (x) will always be greater than g (x).

g (x) > h (x) for x = - 1.

g (x) < h (x) for x = 3.

For positive values of x, g (x) > h (x).

For negative values of x, g (x) > h (x).

Question

Mathematics

Andrea

8 November, 21:24

Which statements are true for the functions g (x) = x2 and h (x) = - x2? Check all that apply.

For any value of x, g (x) will always be greater than h (x).

For any value of x, h (x) will always be greater than g (x).

g (x) > h (x) for x = - 1.

g (x) < h (x) for x = 3.

For positive values of x, g (x) > h (x).

For negative values of x, g (x) > h (x).

+5

Answers (1)

Know the Answer?

Ireland · Answer 1

If x=0 then they have same value

1st and 2nd options are out

for x=-1

g (-1) = 1

h (-1) = - 1

3rd is true

4th

false

for all values except zero, g (x) >h (x)

correct ones are

g (x) > h (x) for x = - 1.

For positive values of x, g (x) > h (x).

For negative values of x, g (x) > h (x).